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Finding the Fourth Proportional to 21,224.57, 31,843.76 and 10,129.82

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Solution

The fourth proportional to 21,224.57, 31,843.76 and 10,129.82 is: 15,198.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.57 : 31,843.76 = 10,129.82 : x
  2. Step 2: Convert to fraction form
    21,224.57/31,843.76 = 10,129.82/x
  3. Step 3: Cross multiply
    21,224.57x = 31,843.76 × 10,129.82
  4. Step 4: Simplify right side
    21,224.57x = 322,571,347.06
  5. Step 5: Solve for x
    x = 322,571,347.06/21,224.57
  6. Step 6: Final answer
    x = 15,198.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.